Grade 4 Maths Resources (3.9 Using Decimals in Measurements ... - Free Printable
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Step-by-step solution for: Grade 4 Maths Resources (3.9 Using Decimals in Measurements ...
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Step-by-step solution for: Grade 4 Maths Resources (3.9 Using Decimals in Measurements ...
Let's solve the worksheet step by step. This worksheet focuses on converting measurements using decimals, specifically:
- Converting kilograms (kg) to grams (g) and vice versa
- Converting kilometers (km) to meters (m) and vice versa
- Converting liters (L) to milliliters (mL) and vice versa
We'll use the following conversion factors:
- 1 kg = 1000 g
- 1 km = 1000 m
- 1 L = 1000 mL
---
#### Remember:
- To convert kg → g: multiply by 1000
- To convert g → kg: divide by 1000
1) 5.190 kg = ______ g
$ 5.190 \times 1000 = 5190 $ g
✔ 5190 g
2) 1.020 kg = ______ g
$ 1.020 \times 1000 = 1020 $ g
✔ 1020 g
3) 18.245 kg = ______ g
$ 18.245 \times 1000 = 18245 $ g
✔ 18245 g
4) 0.030 kg = ______ g
$ 0.030 \times 1000 = 30 $ g
✔ 30 g
5) 4.300 kg = ______ g
$ 4.300 \times 1000 = 4300 $ g
✔ 4300 g
6) 7.005 kg = ______ g
$ 7.005 \times 1000 = 7005 $ g
✔ 7005 g
7) 8.677 kg = ______ g
$ 8.677 \times 1000 = 8677 $ g
✔ 8677 g
8) 5.045 kg = ______ g
$ 5.045 \times 1000 = 5045 $ g
✔ 5045 g
---
#### Remember:
- To convert km → m: multiply by 1000
- To convert m → km: divide by 1000
9) 5.500 km = ______ m
$ 5.500 \times 1000 = 5500 $ m
✔ 5500 m
10) 0.725 km = ______ m
$ 0.725 \times 1000 = 725 $ m
✔ 725 m
11) 21.563 km = ______ m
$ 21.563 \times 1000 = 21563 $ m
✔ 21563 m
12) 3.070 km = ______ m
$ 3.070 \times 1000 = 3070 $ m
✔ 3070 m
13) 7.805 km = ______ m
$ 7.805 \times 1000 = 7805 $ m
✔ 7805 m
14) 6.286 km = ______ m
$ 6.286 \times 1000 = 6286 $ m
✔ 6286 m
15) 0.090 km = ______ m
$ 0.090 \times 1000 = 90 $ m
✔ 90 m
16) 1.990 km = ______ m
$ 1.990 \times 1000 = 1990 $ m
✔ 1990 m
---
#### Remember:
- To convert L → mL: multiply by 1000
- To convert mL → L: divide by 1000
17) 7.025 L = ______ mL
$ 7.025 \times 1000 = 7025 $ mL
✔ 7025 mL
18) 10.400 L = ______ mL
$ 10.400 \times 1000 = 10400 $ mL
✔ 10400 mL
19) 0.500 L = ______ mL
$ 0.500 \times 1000 = 500 $ mL
✔ 500 mL
20) 3.672 L = ______ mL
$ 3.672 \times 1000 = 3672 $ mL
✔ 3672 mL
21) 1.006 L = ______ mL
$ 1.006 \times 1000 = 1006 $ mL
✔ 1006 mL
22) 23.345 L = ______ mL
$ 23.345 \times 1000 = 23345 $ mL
✔ 23345 mL
23) 8.098 L = ______ mL
$ 8.098 \times 1000 = 8098 $ mL
✔ 8098 mL
24) 6.120 L = ______ mL
$ 6.120 \times 1000 = 6120 $ mL
✔ 6120 mL
---
#### Weights (kg → g):
1) 5190 g
2) 1020 g
3) 18245 g
4) 30 g
5) 4300 g
6) 7005 g
7) 8677 g
8) 5045 g
#### Lengths (km → m):
9) 5500 m
10) 725 m
11) 21563 m
12) 3070 m
13) 7805 m
14) 6286 m
15) 90 m
16) 1990 m
#### Capacities (L → mL):
17) 7025 mL
18) 10400 mL
19) 500 mL
20) 3672 mL
21) 1006 mL
22) 23345 mL
23) 8098 mL
24) 6120 mL
---
💡 Key Concept:
All conversions involve multiplying or dividing by 1000 because:
- 1 kg = 1000 g
- 1 km = 1000 m
- 1 L = 1000 mL
Just move the decimal point three places:
- To convert to smaller units (e.g., g, m, mL): move right
- To convert to larger units (e.g., kg, km, L): move left
Let me know if you'd like this in a printable format!
- Converting kilograms (kg) to grams (g) and vice versa
- Converting kilometers (km) to meters (m) and vice versa
- Converting liters (L) to milliliters (mL) and vice versa
We'll use the following conversion factors:
- 1 kg = 1000 g
- 1 km = 1000 m
- 1 L = 1000 mL
---
🔹 Part 1: Convert weights as kg and g
#### Remember:
- To convert kg → g: multiply by 1000
- To convert g → kg: divide by 1000
1) 5.190 kg = ______ g
$ 5.190 \times 1000 = 5190 $ g
✔ 5190 g
2) 1.020 kg = ______ g
$ 1.020 \times 1000 = 1020 $ g
✔ 1020 g
3) 18.245 kg = ______ g
$ 18.245 \times 1000 = 18245 $ g
✔ 18245 g
4) 0.030 kg = ______ g
$ 0.030 \times 1000 = 30 $ g
✔ 30 g
5) 4.300 kg = ______ g
$ 4.300 \times 1000 = 4300 $ g
✔ 4300 g
6) 7.005 kg = ______ g
$ 7.005 \times 1000 = 7005 $ g
✔ 7005 g
7) 8.677 kg = ______ g
$ 8.677 \times 1000 = 8677 $ g
✔ 8677 g
8) 5.045 kg = ______ g
$ 5.045 \times 1000 = 5045 $ g
✔ 5045 g
---
🔹 Part 2: Convert lengths as km and m
#### Remember:
- To convert km → m: multiply by 1000
- To convert m → km: divide by 1000
9) 5.500 km = ______ m
$ 5.500 \times 1000 = 5500 $ m
✔ 5500 m
10) 0.725 km = ______ m
$ 0.725 \times 1000 = 725 $ m
✔ 725 m
11) 21.563 km = ______ m
$ 21.563 \times 1000 = 21563 $ m
✔ 21563 m
12) 3.070 km = ______ m
$ 3.070 \times 1000 = 3070 $ m
✔ 3070 m
13) 7.805 km = ______ m
$ 7.805 \times 1000 = 7805 $ m
✔ 7805 m
14) 6.286 km = ______ m
$ 6.286 \times 1000 = 6286 $ m
✔ 6286 m
15) 0.090 km = ______ m
$ 0.090 \times 1000 = 90 $ m
✔ 90 m
16) 1.990 km = ______ m
$ 1.990 \times 1000 = 1990 $ m
✔ 1990 m
---
🔹 Part 3: Convert capacities as L and mL
#### Remember:
- To convert L → mL: multiply by 1000
- To convert mL → L: divide by 1000
17) 7.025 L = ______ mL
$ 7.025 \times 1000 = 7025 $ mL
✔ 7025 mL
18) 10.400 L = ______ mL
$ 10.400 \times 1000 = 10400 $ mL
✔ 10400 mL
19) 0.500 L = ______ mL
$ 0.500 \times 1000 = 500 $ mL
✔ 500 mL
20) 3.672 L = ______ mL
$ 3.672 \times 1000 = 3672 $ mL
✔ 3672 mL
21) 1.006 L = ______ mL
$ 1.006 \times 1000 = 1006 $ mL
✔ 1006 mL
22) 23.345 L = ______ mL
$ 23.345 \times 1000 = 23345 $ mL
✔ 23345 mL
23) 8.098 L = ______ mL
$ 8.098 \times 1000 = 8098 $ mL
✔ 8098 mL
24) 6.120 L = ______ mL
$ 6.120 \times 1000 = 6120 $ mL
✔ 6120 mL
---
✔ Final Answers:
#### Weights (kg → g):
1) 5190 g
2) 1020 g
3) 18245 g
4) 30 g
5) 4300 g
6) 7005 g
7) 8677 g
8) 5045 g
#### Lengths (km → m):
9) 5500 m
10) 725 m
11) 21563 m
12) 3070 m
13) 7805 m
14) 6286 m
15) 90 m
16) 1990 m
#### Capacities (L → mL):
17) 7025 mL
18) 10400 mL
19) 500 mL
20) 3672 mL
21) 1006 mL
22) 23345 mL
23) 8098 mL
24) 6120 mL
---
💡 Key Concept:
All conversions involve multiplying or dividing by 1000 because:
- 1 kg = 1000 g
- 1 km = 1000 m
- 1 L = 1000 mL
Just move the decimal point three places:
- To convert to smaller units (e.g., g, m, mL): move right
- To convert to larger units (e.g., kg, km, L): move left
Let me know if you'd like this in a printable format!
Parent Tip: Review the logic above to help your child master the concept of measurement math worksheet.